193890144 has 48 divisors (see below), whose sum is σ = 581672448. Its totient is φ = 55396992.

The previous prime is 193890121. The next prime is 193890163. The reversal of 193890144 is 441098391.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143592 + ... + 144935.

It is an arithmetic number, because the mean of its divisors is an integer number (12118176).

Almost surely, 2^193890144 is an apocalyptic number.

193890144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

193890144 is an abundant number, since it is smaller than the sum of its proper divisors (387782304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193890144 is a wasteful number, since it uses less digits than its factorization.

193890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288547 (or 288539 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 193890144 is about 13924.4441181686. Note that the first 3 decimals coincide. The cubic root of 193890144 is about 578.7867464660.

The spelling of 193890144 in words is "one hundred ninety-three million, eight hundred ninety thousand, one hundred forty-four".